Representations of right 3-Nakayama algebras

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In this paper we study the category of finitely generated modules over a right 3-Nakayama artin algebra. First we give a characterization of right 3-Nakayama artin algebras and then we give a complete list of non-isomorphic finitely generated indecomposable modules over any right 3-Nakayama artin algebra. Also we compute all almost split sequences for the class of right 3-Nakayama artin algebras. Finally, we classify finite dimensional right 3-Nakayama algebras in terms of their quivers with relations.